Extensions 1→N→G→Q→1 with N=C7xC21 and Q=C3

Direct product G=NxQ with N=C7xC21 and Q=C3
dρLabelID
C212441C21^2441,13

Semidirect products G=N:Q with N=C7xC21 and Q=C3
extensionφ:Q→Aut NdρLabelID
(C7xC21):1C3 = C7:C3xC21φ: C3/C1C3 ⊆ Aut C7xC21633(C7xC21):1C3441,10
(C7xC21):2C3 = C3xC72:C3φ: C3/C1C3 ⊆ Aut C7xC21147(C7xC21):2C3441,11
(C7xC21):3C3 = C3xC72:3C3φ: C3/C1C3 ⊆ Aut C7xC21633(C7xC21):3C3441,12

Non-split extensions G=N.Q with N=C7xC21 and Q=C3
extensionφ:Q→Aut NdρLabelID
(C7xC21).1C3 = C7xC7:C9φ: C3/C1C3 ⊆ Aut C7xC21633(C7xC21).1C3441,5
(C7xC21).2C3 = C72:C9φ: C3/C1C3 ⊆ Aut C7xC21441(C7xC21).2C3441,6
(C7xC21).3C3 = C72:3C9φ: C3/C1C3 ⊆ Aut C7xC21633(C7xC21).3C3441,7

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